UV/IR Mixing and Anomalies in Noncommutative Gauge Theories

@inproceedings{Nakajima2002UVIRMA,
  title={UV/IR Mixing and Anomalies in Noncommutative Gauge Theories},
  author={Tadahito Nakajima},
  year={2002}
}
Using path integral method (Fujikawa’s method) we calculate anomalies in noncommutative gauge theories with fermions in the bi-fundamental and adjoint representations. We find that axial and chiral gauge anomalies coming from non-planar contributions are derived in the low noncommutative momentum limit e p µ ( ≡ θ µν p ν ) → 0. The adjoint chiral fermion carries no anomaly in the non-planar sector in D = 4 k ( k = 1 , 2 , . . . , ) dimensions. It is naturally shown from the path integral method… 

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